Title
Finite semigroup varieties defined by programs
Abstract
We study the regular languages recognized by polynomial-length programs over finite semigroups belonging to product varieties V ∗ LI , where V is a variety of finite monoids, and LI is the variety of finite locally trivial semigroups. In the case where the semigroup variety has a particular closure property with respect to programs, we are able to give precise characterizations of these regular languages. As a corollary we obtain new proofs of the results of Barrington, Compton, Straubing and Therien characterizing the regular languages in certain circuit complexity classes.
Year
DOI
Venue
1997
10.1016/S0304-3975(96)00297-6
Theor. Comput. Sci.
Keywords
DocType
Volume
finite semigroup variety
Journal
180
Issue
ISSN
Citations 
1-2
Theoretical Computer Science
4
PageRank 
References 
Authors
0.42
5
3
Name
Order
Citations
PageRank
Pierre Péladeau1485.45
Howard Straubing252860.92
Denis Thérien367155.71